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Finding the Fourth Proportional to 618.40, 925.80 and 582.80

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Solution

The fourth proportional to 618.40, 925.80 and 582.80 is: 872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.40 : 925.80 = 582.80 : x
  2. Step 2: Convert to fraction form
    618.40/925.80 = 582.80/x
  3. Step 3: Cross multiply
    618.40x = 925.80 × 582.80
  4. Step 4: Simplify right side
    618.40x = 539,556.24
  5. Step 5: Solve for x
    x = 539,556.24/618.40
  6. Step 6: Final answer
    x = 872.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.